Derives stationary measures for zero-temperature random polymer models via reductions to two bijections with independence preservation, noting degeneracy explains atoms and yields links between models including new ones for the river delta model.
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Defines bi-infinite discrete integrable systems and proves unique solvability of the initial-value problem via path encodings that generalize Pitman's transformation.
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On the stationary solutions of random polymer models and their zero-temperature limits
Derives stationary measures for zero-temperature random polymer models via reductions to two bijections with independence preservation, noting degeneracy explains atoms and yields links between models including new ones for the river delta model.
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Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
Defines bi-infinite discrete integrable systems and proves unique solvability of the initial-value problem via path encodings that generalize Pitman's transformation.